Question $8(3$ points$)$

Listen

Sand pouring at a constant rate of $0\mathrm{.}95$ cubic meters per second from the top end of a sand and gravel conveyor belt is forming a pile of sand in the shape of a cone, with a slanted height of the cone making an angle of $36$ degrees with the ground. At what rate is the area of the base of the sand cone increasing when the height of the sand cone is $4\mathrm{.}5$ meters? Provide all the details of your solution.